Fraction Calculator - Add, Subtract, Multiply & Divide Fractions Fraction Calculator
Use our free fraction calculator to add, subtract, multiply, divide, or simplify fractions and mixed numbers instantly.
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Your Results
Common Fraction Equivalents
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.3333 | 33.33% |
| 1/4 | 0.25 | 25% |
| 1/5 | 0.2 | 20% |
| 1/8 | 0.125 | 12.5% |
| 2/3 | 0.6667 | 66.67% |
| 3/4 | 0.75 | 75% |
| 3/8 | 0.375 | 37.5% |
| 7/8 | 0.875 | 87.5% |
Fraction Calculator - Guide
What is a Fraction?
A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, 3/4 means 3 parts out of 4 equal parts. Fractions are fundamental in mathematics and used daily in cooking, measurements, finance, and more.
Fraction Operations
1. Addition
a/b + c/d = (a×d + c×b) / (b×d)
2. Subtraction
a/b − c/d = (a×d − c×b) / (b×d)
3. Multiplication
a/b × c/d = (a×c) / (b×d)
4. Division
a/b ÷ c/d = (a×d) / (b×c)
Examples
- 1/3 + 1/4: (1×4 + 1×3) / (3×4) = 7/12
- 3/4 − 1/2: (3×2 − 1×4) / (4×2) = 2/8 = 1/4
- 2/3 × 3/5: (2×3) / (3×5) = 6/15 = 2/5
- 3/4 ÷ 2/3: (3×3) / (4×2) = 9/8 = 1 1/8
Simplifying Fractions
To simplify a fraction, find the Greatest Common Divisor (GCD) of the numerator and denominator, then divide both by the GCD. For example, to simplify 8/12: the GCD of 8 and 12 is 4, so 8/12 = 2/3.
Mixed Numbers
A mixed number combines a whole number with a fraction, like 2 3/4. To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator: 2 3/4 = (2×4 + 3)/4 = 11/4.
How This Calculator Works
- Choose an operation: Add, Subtract, Multiply, or Divide.
- Enter fractions: Type the whole number (optional), numerator, and denominator for each fraction.
- Instant result: The simplified result, mixed number form, decimal value, and formula update in real time.